This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and...
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This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level second Calculus course, or equivalently, together with the first workbook, an AP Calculus BC course. The book further provides simple summary of videos, written definitions and statements, worked out examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 16 thematic learning modules. Exercises, some with and some without solutions, and sample tests with solutions are provided in a separate companion manual. The book can be used for self study, or as a textbook for a Calculus course following the “flipped classroom” model.

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The author states, "'A=B' is about identities in general, and hypergeometric identities in particular, with emphasis on...
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The author states, "'A=B' is about identities in general, and hypergeometric identities in particular, with emphasis on computer methods of discovery and proof. The book describes a number of algorithms for doing these tasks, and we intend to maintain the latest versions of the programs that carry out these algorithms on this page. So be sure to consult this page from time to time, and help yourself to the latest versions of the programs.״The entire book is available for purchase, but can also be downloaded for free at this site. This website also included some reviews of the book.

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According to the author, "We study fundamental algebraic structures, namely groups, rings, fields and modules, and maps...
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According to the author, "We study fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures. The techniques are used in many areas of mathematics, and there are applications to physics, engineering and computer science as well. In addition, I have attempted to communicate the intrinsic beauty of the subject. Ideally, the reasoning underlying each step of a proof should be completely clear, but the overall argument should be as brief as possible, allowing a sharp overview of the result.״Each chapter of the book is downloadable as a separate pdf file.

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״Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Judson that is designed to teach the...
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״Abstract Algebra: Theory and Applications is an open-source textbook written by Tom Judson that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.״

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'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in...
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'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus. The student activities provide most of the material to be assigned as homework, but since the book does not contain the usual routine exercises, instructors wanting such exercises will need to supply their own or use a homework system such as WebWork. With this approach Active Calculusmakes it possible to teach an inquiry based learning course without severely restricting the material covered. Although this book is new, it has been class tested by the author and his colleagues both at their university and elsewhere.From the preface:Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer a plausibility argument for such results, rarely do we include formal proofs.'

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This is a free textbook offered by InTech.'Adaptive filtering can be used to characterize unknown systems in time-variant...
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This is a free textbook offered by InTech.'Adaptive filtering can be used to characterize unknown systems in time-variant environments. The main objective of this approach is to meet a difficult comprise: maximum convergence speed with maximum accuracy. Each application requires a certain approach which determines the filter structure, the cost function to minimize the estimation error, the adaptive algorithm, and other parameters; and each selection involves certain cost in computational terms, that in any case should consume less time than the time required by the application working in real-time. Theory and application are not, therefore, isolated entities but an imbricated whole that requires a holistic vision. This book collects some theoretical approaches and practical applications in different areas that support expanding of adaptive systems.'

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This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of...
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This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of in-class assignments, homework and lesson plans, that work for me and for other people who have tried them. The complete set comprises three separate books that work together:•The Homework and Activities Book contains in-class and homework assignments that are given to the students day-by-day.” " target=״_blank״http://www.merlot.org/merlot/viewMaterial.htm?id=434004“•The Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class.” " target=״_blank״http://www.merlot.org/merlot/viewMaterial.htm?id=434001•The Teacher's Guide provides detailed lesson plans; it is your guide to how the author “envisioned these materials being used when I created them (and how I use them myself) " target=״_blank״http://www.merlot.org/merlot/viewMaterial.htm?id=434006Instructors should note that this book probably contains more information than you will be able to cover in a single school year.”

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According to The Orange Grove, "This book is based on an honors Calculus course given in the 1960s. The book contains more...
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According to The Orange Grove, "This book is based on an honors Calculus course given in the 1960s. The book contains more material than was normally covered in any one year. It can be used (with omissions) for a year's course in Advanced Calculus, or as a text for a 3-semester introduction to analysis. There are exercises spread throughout the book.״

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This is a free textbook offered by BookBoon.'Advanced Maths for Chemists teaches Maths from a “chemical” perspective and is...
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This is a free textbook offered by BookBoon.'Advanced Maths for Chemists teaches Maths from a “chemical” perspective and is the third of a three part series of texts designed for a first-year university course. It is the Maths required by a Chemist, Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions are used and structured on a weekly basis to help the students to self-pace themselves. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers for use with your PDF reader.'

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